Purpose: In this research study, obtaining the analytical and soliton solutions to the
perturbed Radhakrishnan–Kundu–Lakshmanan (RKL) equation with Kerr law nonlinearity is …

The study examines the propagation of solitary waves in optical fibers controlled by the
Radhakrishnan–Kundu–Lakshmanan model (RKL) equation, which includes a cubic–quintic …

Abstract The complex Radhakrishnan-Kundu-Lakshmanan equation having polynomial law
of nonlinearity with four powers is considered. The Cauchy problem for this partial …

In this article, we consider the twin-core couplers with Kudryashov's sextic power law of
refractive index and perturbation terms. The extended F-expansion method is implemented …

In this work, the fractional Gross–Pitaevskii equation and fractional Radhakrishnan–Kundu
Lakshmanan equation are investigated. A large number of new soliton solutions are …

In this article, highly dispersive optical solitons and other solutions in birefringent fibers are
reported with quadratic–cubic law and polynomial law of refractive index. The improved …

This paper is an wide account of bright solitons and periodic solutions for twin-core couplers
and multiple-core couplers with polynomial law of nonlinearity and nonlinear perturbation …

In physical domains, Beta derivatives are necessary to comprehend wave propagation
across various nonlinear models. In this research work, the modified Sardar sub-equation …

This study investigates the optical soliton propagation for the new version of the
Radhakrishnan–Kundu–Lakshmanan equation with a quadrupled-power law structure of …

In this article, nonlinear Schrödinger's equation with Kudryashov's quintuple power law of
refractive index is considered. The modified extended direct algebraic algorithm is …